Advances in nano research

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Continuous element method for aeroacoustics' waves in confined ducts

  • Khadimallah, Mohamed A. (Department of Civil Engineering, College of Engineering in Al-Kharj, Prince Sattam Bin Abdulaziz University) ;
  • Harbaoui, Imene (Laboratory of Applied Mechanics and Engineering LR-MAI, University Tunis El Manar) ;
  • Casimir, Jean B. (Institut Superieur de Mecanique de Paris, Quartz (EA 7393)) ;
  • Taieb, Lamjed H. (Department of Civil Engineering, College of Engineering in Al-Kharj, Prince Sattam Bin Abdulaziz University) ;
  • Hussain, Muzamal (Department of Mathematics, Govt. College University Faisalabad) ;
  • Tounsi, Abdelouahed (YFL (Yonsei Frontier Lab), Yonsei University)
  • Received : 2020.11.03
  • Accepted : 2022.08.10
  • Published : 2022.10.25
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Abstract

The continuous elements method, also known as the dynamic stiffness method, is effective for solving structural dynamics problems, especially over a large frequency range. Before applying this method to fluid-structure interactions, it is advisable to check its validity for pure acoustics, without considering the different coupling parameters. This paper describes a procedure for taking wave propagation into account in the formulation of a Dynamic Stiffness Matrix. The procedure is presented in the context of the harmonic response of acoustic pressure. This development was validated by comparing the harmonic response calculations performed using the continuous element model with the analytical solution. In addition, this paper illustrates the application of this method to a simple compressible flow problem, since it has been applied solely to structural problems to date.

Keywords

References

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